Integrable pseudopotentials related to generalized hypergeometric functions

Abstract

We construct integrable pseudopotentials with an arbitrary number of fields in terms of generalized hypergeometric functions. These pseudopotentials yield some integrable (2+1)-dimensional hydrodynamic type systems. An interesting class of integrable (1+1)-dimensional hydrodynamic type systems is also generated by our pseudopotentials.

Latex, 28 pages, new material on integrable 3-dimensional hydrodynamic type systems is added

References in corpus (3)

• A family of (2+1)-dimensional hydrodynamic type systems possessing pseudopotential
• Integrable Lagrangians and modular forms
• Integrable equations of the dispersionless Hirota type and hypersurfaces in the Lagrangian Grassmannian